# $* d *$ operator --- Digest the (differential/geometry) meaning

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I like to digest better:

• the $$* d *$$ operator in Maxwell differential form equation

• the $$* D *$$ operator in Yang-Mills differential form equation

We already knew that in Maxwell differential form equation we have: $$* d * F=0$$ knew that in Yang-Mills differential form equation we have: $$* D * F=0$$ here $$D .=d .+ [A,.]$$

But how we do understand $$* d *$$ operator and $$* D *$$ operator? Their the (differential/geometry) meaning? How do we make ourselves comfortable , even though we also knew the equation boils down to:

$$\partial_\mu F^{\mu \nu}=0$$ $$D_\mu F^{\mu \nu}=0$$ respectively. But how to think $$* d *$$ operator and $$* D *$$ operator differential/geometry-ly?

This post imported from StackExchange Physics at 2020-11-09 19:28 (UTC), posted by SE-user annie marie heart
Well, do you understand what $\ast$ and $d$ individually mean?
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